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Finding the Fourth Proportional to 12,491.84, 17,220.87 and 7,708.58

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Solution

The fourth proportional to 12,491.84, 17,220.87 and 7,708.58 is: 10,626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.84 : 17,220.87 = 7,708.58 : x
  2. Step 2: Convert to fraction form
    12,491.84/17,220.87 = 7,708.58/x
  3. Step 3: Cross multiply
    12,491.84x = 17,220.87 × 7,708.58
  4. Step 4: Simplify right side
    12,491.84x = 132,748,454.06
  5. Step 5: Solve for x
    x = 132,748,454.06/12,491.84
  6. Step 6: Final answer
    x = 10,626.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.